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Finding the Fourth Proportional to 341,980.44, 512,809.20 and 199,866.48

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Solution

The fourth proportional to 341,980.44, 512,809.20 and 199,866.48 is: 299,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,980.44 : 512,809.20 = 199,866.48 : x
  2. Step 2: Convert to fraction form
    341,980.44/512,809.20 = 199,866.48/x
  3. Step 3: Cross multiply
    341,980.44x = 512,809.20 × 199,866.48
  4. Step 4: Simplify right side
    341,980.44x = 102,493,369,715.62
  5. Step 5: Solve for x
    x = 102,493,369,715.62/341,980.44
  6. Step 6: Final answer
    x = 299,705.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.